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Nonlinear unmixing of hyperspectral images using a generalized bilinear model

Halimi, Abderrahim and Altmann, Yoann and Dobigeon, Nicolas and Tourneret, Jean-Yves Nonlinear unmixing of hyperspectral images using a generalized bilinear model. (2011) IEE Transactions on Geoscience & Remote Sensing, 49 (11). 4153-4162. ISSN 0196-2892

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Official URL: http://dx.doi.org/10.1109/TGRS.2010.2098414


Nonlinear models have recently shown interesting properties for spectral unmixing. This paper studies a generalized bilinear model and a hierarchical Bayesian algorithm for unmixing hyperspectral images. The proposed model is a generalization not only of the accepted linear mixing model but also of a bilinear model that has been recently introduced in the literature. Appropriate priors are chosen for its parameters to satisfy the positivity and sum-to-one constraints for the abundances. The joint posterior distribution of the unknown parameter vector is then derived. Unfortunately, this posterior is too complex to obtain analytical expressions of the standard Bayesian estimators. As a consequence, a Metropolis-within-Gibbs algorithm is proposed, which allows samples distributed according to this posterior to be generated and to estimate the unknown model parameters. The performance of the resulting unmixing strategy is evaluated via simulations conducted on synthetic and real data.

Item Type:Article
Additional Information:Thanks to IEEE editor. (c) 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. The definitive version is available at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=36 The original PDF of the article can be found at Transactions on Geoscience & Remote Sensing website : http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5702384&tag=1
HAL Id:hal-03545147
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Laboratory name:
Deposited On:04 Nov 2011 13:45

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